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We consider the electrostatic interaction between two rigid membranes, withdifferent surface charge densities of opposite sign, across an aqueous solutionwithout added salt. Exact solutions to the nonlinear Poisson-Boltzmann equationare obtained and their physical meaning discussed. We also calculate theelectrostatic contribution to the free energy and discuss the renormalizationof the area per head group of the charged lipids arising from the Coulombinteraction.Comment: 13 pages, 6 figures, to be published in EJP

Binding of oppositely charged membranes and membrane reorganization